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Finding the Fourth Proportional to 6,092.91, 9,138.74 and 3,619.89

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Solution

The fourth proportional to 6,092.91, 9,138.74 and 3,619.89 is: 5,429.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.91 : 9,138.74 = 3,619.89 : x
  2. Step 2: Convert to fraction form
    6,092.91/9,138.74 = 3,619.89/x
  3. Step 3: Cross multiply
    6,092.91x = 9,138.74 × 3,619.89
  4. Step 4: Simplify right side
    6,092.91x = 33,081,215.44
  5. Step 5: Solve for x
    x = 33,081,215.44/6,092.91
  6. Step 6: Final answer
    x = 5,429.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.